Pith Number

pith:JCVXCDDD

pith:2026:JCVXCDDDU2FEJVL6X2N4FV7VDQ

not attested not anchored not stored refs pending

Efficient Approximation for Encoder--Decoder Neural Operators via Variation Spaces

Jia-Qi Yang, Lei Shi

arxiv:2606.01244 v1 · 2026-05-31 · stat.ML · cs.LG · cs.NA · math.FA · math.NA · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCVXCDDDU2FEJVL6X2N4FV7VDQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-02T02:04:27.773428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48ab710c63a68a44d57ebe9bc2d7f51c3b1ee21e9779adb3869150381069ee97

Aliases

arxiv: 2606.01244 · arxiv_version: 2606.01244v1 · doi: 10.48550/arxiv.2606.01244 · pith_short_12: JCVXCDDDU2FE · pith_short_16: JCVXCDDDU2FEJVL6 · pith_short_8: JCVXCDDD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JCVXCDDDU2FEJVL6X2N4FV7VDQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 48ab710c63a68a44d57ebe9bc2d7f51c3b1ee21e9779adb3869150381069ee97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "badb7a79c355b86b952939151616e9e1e0f6a2c340e90019e8964753f9062545",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.FA",
      "math.NA",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-31T13:53:17Z",
    "title_canon_sha256": "ec6bc3d7935c1bad6d82a2146b7f177270830871edb4c586c3aa7bce7ada6ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01244",
    "kind": "arxiv",
    "version": 1
  }
}